Find the area of the surface oblalned by rotating tne curve y = V4x x = 0 to x = 3 about the x-axis. area is square units.

Q: Find the surface area generated by revolving the portion of the curve y=x^2+1 between x=1 and x=2…

A: Given that, Curve, y=x2+1   We have to find the Surface Area Generated by revolving the portion of…

Q: Find the between the two curves. area 2. X=ay, a'y=x 3

A: The area between the curves can be calculated by integration. The formula used for the integration…

Q: Find the area of the surface formed by revolving the graph of f (x) = x2 on the interval [0,√2]…

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Q: Find the area of the surface generated by revolving the curve y = V 121 - x2, – 1 s x < 1 about the…

A: We can find the answer as below.

Q: Find the surface area of revolution about the x-axis of y = 3x + 4 over the interval 1 < x < 2

A: Answer

Q: Find the area of the surface obtained by revolving the curve x=/y+1, for 1<y<, around the y-axis.

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Q: Calculate the area of the surface generated when the curve, y = Vx is revolved on the interval [1<…

A: Consider the equation

Q: Find the area of the surface of revolution generated by revolving the curve y = 5/ 0Sa<4, about the…

A: Given that:  y=5x,                        0≤x≤4

Q: Find the moment of inertia with respect to x-axis of the area bounded by the parabola y = 4x and the…

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Q: The surface area of the surface generated by revolving y =x³ , 0 Sx<1 about the x- axis is

A: Given : y= x3    ,  limit  0 to 1

Q: Find the surface area of revolution about the x-axis of y = 7x +7 over the interval 2 <x < 3

A: Given function,     y=f(x)=7x+7, 2≤x≤3f'(x)=dydx=7Here lower limit is 2 and upper limit is 3

Q: Find the surface area of revolution about the x- axis of y = 3 sin(5x) over the interval Preview

A: Given curve is y=3in(5x), firstly, we will find dy/dx

Q: Find the area of the surface generated when the given curve is revolved about the given axis. 7 y =…

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Q: 4. By revolving the semicircle x = cost, y = sint (0 <t< ) about the x-axis, show that the surface…

A: Equation of semicircle with radius r is x=rcost, y=rsint We know the formula for surface area for…

Q: Find the area of the segment cut off from the curve y = sin x, 0≤x≤ n by the line y = 1/√2. H4 34 y…

A: Let's find area of segment.

Q: Find the surface area of revolution generated by revolving the curve y= (3x)5 over about the y…

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Q: 2. Find the area of surface that is generated by revolving the portion of the curve x = V16 – y , 0…

A: Given, x= √(16-y) Therefore, f(y)= √(16-y) Differentiating the above equation with respect to y we…

Q: Find the surface area of revolution about the x-axis of y=4x+3 over the interval 0≤x≤1

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Q: Find the surface area of revolution about the x-axis of y 4x +7 over the interval 0 < r<3

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Q: Find the area of the surface generated by revolving the curve y /2x-x, 0.25 sxs1.5, about the…

A: Use surface area formula about x asis

Q: Find the area of the surface generated when the given curve is revolved about the given axis.y=8x-4…

A: Here we find the area of surface generated when the given curve is revolved about the y-axis. The…

Q: Find the moment of inertia with respect to the x-axis of the area bounded by the parabola y2 = 4 and…

A: Solution is given as below:

Q: Find the surface area of revolution about the x-axis of y = 2x + 7 over the interval 0 <x <1

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Q: Find the area of the surface generated by revolving y = Vx +1 from r = 1 to x = 5

A: The objective is to find the area of the surface generated by revolving y=x+1 from x=1 to x=5.

Q: Find the surface area of revolution about the x-axis of y = 3 sin(6x) over the interval 0 <x < -

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Q: Determine the surface area generated by revolving the arc 3y= 4x from x=0 to x=3 about the x-axis.

A: To find- Determine the surface area generated by revolving the arc 3y = 4x from x=0 to x=3 about the…

Q: ) Find the area of the surface that is obtained by rotating the curve Y = 0.25X² – 0.5 Log.X, 1<X<2…

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Q: Find the surface area generated by revolving y=7x+6 about the x axis on the interval [0,6]

A: We need to find the surface area generated by revolving y=7x+6 about the x axis on the interval…

Q: 3. Find the length of the curve y = x – In x, 1<x < 4. 1. Find the area of the surface obtained by…

A: The solution is given as follows

Q: Find the area of the surface obtained by rotating the curve y = V1+ e, 0sx<1 about the X-axis. 2).…

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Q: Find the surface area obtained by revolving the parabolic arc y2=x from (0, 0) to (9, 3) about the…

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Q: Find the surface area of revolution about the x-axis of 5z +3 over the interval 1 < z < 2

A: y=5x+3 &amp; given interval 1≤x≤2As we know surface area of revolution abput x-axis from x=a to…

Q: Find the surface area of the solid gained by revolving the curve 0 < x < 14, about the x – axis. 14'

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Q: Find the surface area of revolution about the x-axis of y=4x+1 over the interval 1≤x≤2

A: y=4x+1, 1≤x≤2 Differentiating with respect to x, we get dydx=41+0=4

Q: Find the surface area generated by revolving y=5x+2 about the x axis on the interval [0,6]

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Q: Find the area of the surface formed by revolving the graph of y = Vx + 2 on the interval [1,8] about…

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Q: Find the area of the surface obtained by rotating the curve. y=x+, 1<x< 2 rotated about the x-axis…

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Q: Find the surface area of revolution about the x-axis of y = 2 sin(4x) over the interval 0 <I<

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Q: Find the area of the surface obtained by rotating y = cosh x over [−ln 2, ln 2] around the x-axis.

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Q: 7) Find the area of the surface that is formed by revolving the function y = 2 x on the interval %3D…

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Q: 2. Find the area of the surface obtained by revolving the curve g(x) = Vx +1 on the interval 0 < x <…

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Q: Find the surface area of revolution about the x-axis of y 7x + 7 over the interval 0 < a < 3

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Q: Find the center of the mass of a thin plate of constant density 6 covering the region bounded by the…

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Q: Find the surface area of revolution about the x-axis of y = 5 sin(4x) c

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 3 7 y…

A: We write x in terms of y first

Q: Find the exact area of the surface generated by revolving the curve y = sinx, over the interval (0 <…

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Q: Find the moment of inertia of the area bounded by the curve x^2=4y, the line y=1 and the y-axis on…

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Q: Find the surface area of revolution about the y-axis of y = 5x + 1 over the interval 0 < x < 3

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Q: Find the area of the surface generated by revolving the curve y = 3/x, 1 < x <4 about the x axis.

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